Abstract
We investigate, for quotients of the non-commutative polynomial
ring, a property that implies finiteness of Gröbner bases
computation, and examine its connection with Noetherianity.
We propose a Gröbner bases theory for our factor algebras, of particular interest for
one-sided ideals, and show a few
applications, e.g. how to compute (one-sided) syzygy modules.
ring, a property that implies finiteness of Gröbner bases
computation, and examine its connection with Noetherianity.
We propose a Gröbner bases theory for our factor algebras, of particular interest for
one-sided ideals, and show a few
applications, e.g. how to compute (one-sided) syzygy modules.
Original language | English |
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Pages (from-to) | 157-180 |
Journal | Applicable Algebra in Engineering, Communication and Computing |
Volume | 11 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2001 |
Subject classification (UKÄ)
- Mathematics
Free keywords
- non-commutative algebras
- Grobner bases
- Dickson's lemma
- Noetherianity
- syzygies
- POLYNOMIAL-RINGS